Search a number
-
+
42032412181 is a prime number
BaseRepresentation
bin100111001001010100…
…111011011000010101
311000111022101202212201
4213021110323120111
51142040244142211
631150500244501
73015413415514
oct471124733025
9130438352781
1042032412181
111690a223431
1281906a0731
133c6b167816
14206a4a267b
15116014d0c1
hex9c953b615

42032412181 has 2 divisors, whose sum is σ = 42032412182. Its totient is φ = 42032412180.

The previous prime is 42032412179. The next prime is 42032412203. The reversal of 42032412181 is 18121423024.

42032412181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39573144900 + 2459267281 = 198930^2 + 49591^2 .

It is a cyclic number.

It is not a de Polignac number, because 42032412181 - 21 = 42032412179 is a prime.

It is a super-2 number, since 2×420324121812 (a number of 22 digits) contains 22 as substring.

Together with 42032412179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42032412101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21016206090 + 21016206091.

It is an arithmetic number, because the mean of its divisors is an integer number (21016206091).

Almost surely, 242032412181 is an apocalyptic number.

It is an amenable number.

42032412181 is a deficient number, since it is larger than the sum of its proper divisors (1).

42032412181 is an equidigital number, since it uses as much as digits as its factorization.

42032412181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 42032412181 in words is "forty-two billion, thirty-two million, four hundred twelve thousand, one hundred eighty-one".